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Question

# In a region of space, the electric field is given by →E=8^i+4^j+3^k. The electric flux through a surface of area of 100 units in x−y plane is

A
800 units
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B
300 units
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C
400 units
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D
1500 units
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Solution

## The correct option is B 300 unitsGiven, Electric field vector, →E=8^i+4^j+3^k As , the plane surface is parallel to x-yplane, so the area vector →A points along the positive direction of z-axis. So, area vector, →A=100^k Electric flux through the surface, ϕ=→E.→A ⇒ϕ=(8^i+4^j+3^k).(100^k) ∴ϕ=300 units Hence, option (b) is the correct answer.

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